Geodesic
Some generalization of Steinhaus' lattice points problem
Paweł Zwoleński1
1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Colloquium Mathematicum, Tome 123 (2011) no. 1, pp. 129-132 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Steinhaus' lattice points problem addresses the question of whether it is possible to cover exactly $n$ lattice points on the plane with an open ball for every fixed nonnegative integer $n$. This paper includes a theorem which can be used to solve the general problem of covering elements of so-called quasi-finite sets in Hilbert spaces. Some applications of this theorem are considered.
DOI : 10.4064/cm123-1-9
Keywords: steinhaus lattice points problem addresses question whether possible cover exactly lattice points plane ball every fixed nonnegative integer paper includes theorem which solve general problem covering elements so called quasi finite sets hilbert spaces applications theorem considered

Paweł Zwoleński 1

1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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Paweł  Zwoleński. Some generalization of Steinhaus' lattice points problem. Colloquium Mathematicum, Tome 123 (2011) no. 1, pp. 129-132. doi: 10.4064/cm123-1-9

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